Runxuan Zhang

activity

20232026

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math.RA2026

Rota-Baxter operators on $ω$ -Lie algebras

Yin Chen, Shan Ren, Jiawen Shan +1

This article explores Rota-Baxter operators on finite-dimensional $ω$ -Lie algebras over a field of characteristic not 2. We provide several methods for constructing left-symmetric…

math.RA2024

Skew-symmetric solutions of the classical Yang-Baxter equation and $O$ -operators of Malcev algebras

Shan Ren, Runxuan Zhang

We study connections between skew-symmetric solutions of the classical Yang-Baxter equation (CYBE) and $O$ -operators of Malcev algebras. We prove that a skew-symmetric so…

Rota-Baxter operators on ω-Lie algebras

Skew-symmetric solutions of the classical Yang-Baxter equation and O-operators of Malcev algebras

Rota-Baxter operators on $ω$ -Lie algebras

Skew-symmetric solutions of the classical Yang-Baxter equation and $O$ -operators of Malcev algebras